用日尔巴先-涅尔塞先分式导数求解一个退化方程的考奇问题

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-02-26 DOI:10.1134/s0012266123120170

B. Yu. Irgashev

引用次数: 0

摘要

摘要为一个具有日尔巴先-涅尔塞先分数导数的退化方程求得了考奇问题的解，其特定解使用 Kilbas-Saigo 函数表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solution of the Cauchy Problem for One Degenerate Equation with the Dzhrbashyan–Nersesyan Fractional Derivative

Abstract

A solution of the Cauchy problem is obtained for one degenerate equation with the Dzhrbashyan–Nersesyan fractional derivative, particular solutions of which are represented using the Kilbas–Saigo function.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.